Find the orthogonal trajectories of the family of ellipses with centers at (0, 0) and two vertices at (2,0) and (-2,0).

Q: esin x dx secx

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Q: P2.C: The integral below may be written in the form A cot x + Bx + C. Calculate (A + B)?. 7-6 sin? x...

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Q: Pescribe how the graph of the function g(x) = - x can be obtained from the basic graph. Then graph t...

A: f(x) = xmultiply  by 1414f(x) =14 x      ( Vertical Shrink by 14)now multiply by (-) sign -14f(x) =-...

Q: Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

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Q: 2-28 Determine whether the series is absolutely convergent. conditionally convergent, or divergent. ...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  here the sequence...

Q: Find dy/dx, if y=(x^2+2)^4 (2x−3)^5 dy/dx = _______

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Q: Evaluate the integral. t2 sin(2t) dt

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Ma...

A: Use component form for the vector and use the given value 

Q: Let f(z) Find the values of a where f' (1) = 6. こ+7 Give exact answers (not decimal approximations)....

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Q: Median Home Prices The median home price in a certain country over the period January 2010-January 2...

A: Given:- Median Home Prices The median home price in a certain country over the period January 2010-J...

Q: |æ – 7| Let us consider lim x→7 x2 – 49 |æ – 7| (a) Find lim 2→7- 22 – 49 Note: Give the exact answe...

A: Follow the procedure given below.

Q: If y=3(−7x^2+7x+1)^13, then      dy/dx=

A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cos x,...

A: The region is bounded by y=cos x and y=2-cos x, 0≤x≤2π

Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root!

A: fx,y=y-2x Since value under the root will be ≥0 So range of f will give square root of non negative ...

Q: të the area covered by the curv om xi X2

A: Given query is to find the area bounded by the curve from x= -1 to x = 1.

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

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Q: 1. (2xy-tany)dx + (x² – xsec?y)dy = 0; y(1) = r 2. [4x°cos(xy)-x*ysin(xy)- ye" +3x²]dx -[x°sin(xy)+x...

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Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A: Given: V(t)=14550e-0.169t

Q: How do you evaluate csc^-1(sec2)? It's an inverse function

A: We have to find the value

Q: Find the area between the curve and the x-axis for the function y = x2 +3x between x= -1 and x = 2 a...

A: To

Q: S cos3 x sin* x dx

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Q: Find Sta | tan (ay) dy 32.

A: We have to find integral of given function.

Q: Find the centroid of the region bounded by the gi 1 y = 0, x = 1,x = 3 %3D %3D

A: Given:y=1/x ,y=0 ,x=1 and x=3 Find: the centroid of the region bounded by given curves.

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = tan ...

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Q: Evaluate f 8e7x+e7= da

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Q: Find the limit, if it exists: (Do not use L'Hospital's rule) 94x2 + 19x + 5 lim x→00 182x25 + 3x – 9...

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Q: х - у ·+1 х+у y 2. ||

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Q: cof), 5T Cos What is the exact value of 4

A: Find the exact value of cos(-5π/4)

Q: y = Vx (x – 1) u = i + ī + 4/15 y = f (r² + t + t')

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Q: The average speed of molecules in an ideal gas is 3/2 00 M 4 v = VT 2RT v³e¬Mv²/(2RT) du where M is ...

A: This question can be solved using the concept of integration by substitution

Q: Given the function f(x) = 3z2 - 3z- 3 find the following. (a) the average rate of change of f on [2,...

A: We will find the average rate of change of function for the given condition.Below find the solution ...

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/ or constant mul...

A: The given question can be solved as shown in step2.

Q: 10w + 4 9w³ + 7w dw

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Q: Evaluate the following definite integral: dx = 12

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Q: Calculating Mass from Radial Density. Mass-Density Formula of a Two-Dimensional Circular Object. Giv...

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Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

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Q: Find the distance between the point (3,-3,6) and the line X= 2+4t y=-4t z=-1+5t

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Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = cosh (2x). (Use...

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Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

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Q: Consider the following. f(x) = x* + 3 Find f'(x). f'(x) = Find the value of dy when x = -4 and dx = ...

A: f(x)= x4+3  Find 1) dy/dx  2) dy when x= -4 and dx= -0.01  3) ∆y when x= -4 and ∆x=-0.01 

Q: se vectors to determine whether the triangle with vertices A = (1,–3,–2), = (6,–2, -5) is right-angl...

A: we know that if the dot product of two vectors is zero then the two vectors are perpendicular. there...

Q: A scientist places 2222 mg of bacteria in a culture for an experiment and he finds that the mass of ...

A:

Q: 1. Find the equations of the normal and osculating planes of the curve x = Int, y = 2t, z = t? at th...

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Q: A contour map is given for a function f. Use it to estimate f(2, 1) and f,(2, 1). Figure Description...

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Q: Select all transformations applied to the graph of function f(x) = Vx to get the graph of the functi...

A: Given query is to find the the transformation applied.

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: Question 15 Find the standard equation of the parabola with focus at (0, – 21) and directrix y = 21....

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Q: 3. Determine whether the following function is odd or even. a) f(t) = t² + 2t + 2 b) h(x) = 5x7 +1 c...

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Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 23 = 8 is l...

A: We can convert to logarithmic form as below